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Finding the Fourth Proportional to 7,807.98, 10,771.29 and 4,822.74

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Solution

The fourth proportional to 7,807.98, 10,771.29 and 4,822.74 is: 6,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.98 : 10,771.29 = 4,822.74 : x
  2. Step 2: Convert to fraction form
    7,807.98/10,771.29 = 4,822.74/x
  3. Step 3: Cross multiply
    7,807.98x = 10,771.29 × 4,822.74
  4. Step 4: Simplify right side
    7,807.98x = 51,947,131.13
  5. Step 5: Solve for x
    x = 51,947,131.13/7,807.98
  6. Step 6: Final answer
    x = 6,653.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.